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Finding the Fourth Proportional to 21,029.82, 31,544.04 and 8,546.16

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Solution

The fourth proportional to 21,029.82, 31,544.04 and 8,546.16 is: 12,818.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,029.82 : 31,544.04 = 8,546.16 : x
  2. Step 2: Convert to fraction form
    21,029.82/31,544.04 = 8,546.16/x
  3. Step 3: Cross multiply
    21,029.82x = 31,544.04 × 8,546.16
  4. Step 4: Simplify right side
    21,029.82x = 269,580,412.89
  5. Step 5: Solve for x
    x = 269,580,412.89/21,029.82
  6. Step 6: Final answer
    x = 12,818.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.